50 x 4 = 200 minutes
The reason why I multiplied by 4 was because 12 divide 3 = 4
200 minutes is equal to 3 hours 20 minutes
There's your answer
Hope this helps!
Answer:
d
Step-by-step explanation:
The triangles are similar, thus the ratios of corresponding sides are equal, that is
=
=
( cross- multiply )
5(2x + 1) = 8(x + 4) ← distribute parenthesis on both sides )
10x + 5 = 8x + 32 ( subtract 8x from both sides )
2x + 5 = 32 ( subtract 5 from both sides )
2x = 27 ( divide both sides by 2 )
x = 13.5 → d
Answer: C. y=15x
Step-by-step explanation:
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The formula for illuminance is given by
E = I / d^2
This formula only holds true for one-dimensional illuminance
The problem asks for the illuminance across the floor. We need to use two variables, x and y.
From Pythagorean Theorem
d^2 = x^2 + y^2
and from Trigonometry
x = d cos t
y = d sin t
The function for the illuminance can be represented by the composite function
E = I cos² t / x²
and
E = I sin² t / y²
The boundary of these functions is:
<span>0 < t < 8
So, the value of t must be in radians and not in degrees</span>
Answer:
,
Step-by-step explanation:
The function of the graph can be written in the vertex form as
, where V(h,k)=V(2,4) is the vertex of the quadratic function.
We substitute the value to obtain;
,
The point (5,1) lies on the graph so we use it to determine the value of a.
,
,
,

The required equation is
,